What does Google Merchant Center use as the primary way to contact users with important messages, such as feed disapprovals?
- Automated phone messages to account owner
- Messaging in Google Merchant Center overview page
- Email contacts listed in account settings
- Messaging in AdWords overview page
You need to provide different information related to your business while setting up a Merchant Center account. One of them is your primary email. Updates regarding your Merchant Center account as well as feed errors and warnings will be sent to this email address, unless indicated otherwise. Your contact information won’t be displayed publicly.
Each time you submit a data feed, Google Merchant Center will automatically generate a status notification that will be sent to your email and temporarily stored in the Merchant Center message archive.
Read more here: https://support.google.com/merchants/answer/160636?hl=en